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Finding the Fourth Proportional to 488.24, 672.14 and 425.20

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Solution

The fourth proportional to 488.24, 672.14 and 425.20 is: 585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.24 : 672.14 = 425.20 : x
  2. Step 2: Convert to fraction form
    488.24/672.14 = 425.20/x
  3. Step 3: Cross multiply
    488.24x = 672.14 × 425.20
  4. Step 4: Simplify right side
    488.24x = 285,793.93
  5. Step 5: Solve for x
    x = 285,793.93/488.24
  6. Step 6: Final answer
    x = 585.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.